Euler One

Jim Dars · science forum beginner Joined: 03 Jul 2005 Posts: 41

Hi All,

I was just rereading William Dunham's "Euler - Master of Us All". Not as
good as his wonderful "Journey Through Genius", but still a VERY interesting
book.

He points out Euler's solution(s) to find the value of

Sum (1 to infinity on k) k^-i where i is an even integer (see Euler
Two)

and remarks that no one has yet found solutions for i being an odd integer
greater than one. (Except for the 1978 "find" that for i=3 the answer is
irrational.) Has any progress yet been made?

Best wishes, Jim

Frederick Williams · science forum addict Joined: 19 Nov 2005 Posts: 97

Jim Dars wrote:

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